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Interior local null controllability for multi-dimensional compressible flow near a constant state
Institution:1. INDAM Unit, University of Brescia, Italy;2. Department of Mathematics and Applications, University of Milano Bicocca, Italy;1. Dipartimento di Matematica “F. Casorati”, Università di Pavia and Research Associate at the IMATI – C.N.R. PAVIA, via Ferrata 1, 27100 Pavia, Italy;2. “Gheorghe Mihoc–Caius Iacob” Institute of Mathematical Statistics and Applied Mathematics of the Romanian Academy, Calea 13 Septembrie 13, 050711 Bucharest, Romania;1. CIRM, Fondazione Bruno Kessler, Via Sommarive, 14, Povo, I-38123 Trento, Italy;2. School of Science and Technology, University of New England, Armidale, NSW 2351, Australia
Abstract:We consider compressible flow with periodic boundary conditions. In a neighborhood of a state of constant density and nonzero velocity, we prove exact null controllability of the system with a control localized in space and acting only on the momentum equation.
Keywords:Null controllability  Compressible flow  Parabolic–hyperbolic system
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